Abstract

We show that a rescaling limit at any degenerate singularity of Ricci flow in dimension 3 is a steady gradient soliton. In particular, we give a geometric description of type I and type II singularities.

Keywords

Ricci flow, singularity

Mathematical Subject Classification

Primary: 53C44

Milestones

Received: 7 May 2008
Revised: 9 December 2008
Accepted: 15 December 2008
Published: 4 March 2009

Authors